How to Find GCF of 30/934, 37/904, 508/151?

GCF of 30/934, 37/904, 508/151

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 30/934, 37/904, 508/151 i.e 1/63747368 easily. The following is the detailed procedure to determine the greatest common factor of fractions 30/934, 37/904, 508/151.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 30/934,37/904,508/151?

Given fractions are 30/934,37/904,508/151

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 30/934,37/904,508/151, numerators are 30,37,508

Denominators are 934,904,151

The GCF of 30,37,508 is 1 .

LCM of 934,904,151 is 63747368.

The greatest common factor of 30/934,37/904,508/151 = [GCF of 30,37,508]/[LCM of 934,904,151]= 1/63747368

Therefore, the GCF of 30/934,37/904,508/151 is 1/63747368.

Greatest Common Factor of 30,37,508

To find the highest common factor of 30,37,508, we have to find the factors of both numbers and list the highest common factor.

The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30

The factors of 37 are 1, 37

The factors of 508 are 1, 2, 4, 127, 254, 508

The HCF of 30,37,508 is 1.

Lets's calculate GCF of 30,37,508

Greatest Common Factor (GCF) of 30,37,508 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 30,37,508 By Matching Biggest Common Factor Method

Now, list down the factors of 30

1,2,3,5,6,10,15,30

Now, list down the factors of 37

1,37

Now, list down the factors of 508

1,2,4,127,254,508

Greatest Common Factor

We found the factors 30,37,508 . The biggest common factor number is the GCF number.
So the greatest common factor 30,37,508 is 1.

Lets's calculate LCM of 934,904,151

Lowest Common Multiple of 934,904,151 using Common Division

2	934, 904, 151
	467, 452, 151

∴ So the LCM of the given numbers is 2 x 467 x 452 x 151 = 63747368

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63747368

Therefore, the GCF of Fractions 30/934,37/904,508/151 is 1/63747368

Least Common Multiple of 934,904,151 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 934,904,151 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(934,904,151) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(934,904,151) x common factors =1 x 2 = 2

LCM(934,904,151) = ( 934 × 904 × 151 ) / 2

LCM(934,904,151) = 127494736 / 2

LCM(934,904,151) = 63747368

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 30/934, 37/904, 508/151

1. What is the HCF of 30,37,508?

The HCF of 30,37,508 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 30/934, 37/904, 508/151?

Answer: GCF of Numerators as per given numbers 30/934, 37/904, 508/151 is

GCF of Numerators i.e. for 30,37,508 is 1

LCM of denominators i.e. for 934,904,151 is 63747368.

Thus, GCF of Fractions is 1/63747368.Finally, GCF of Fractions for 30/934, 37/904, 508/151 is 1/63747368.